{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Triplet Telescope Objective"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import optic"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "class TripletTelescopeObjective(optic.Optic):\n",
    "    def __init__(self):\n",
    "        super().__init__()\n",
    "\n",
    "        self.add_surface(index=0, radius=np.inf, thickness=np.inf)\n",
    "        self.add_surface(\n",
    "            index=1,\n",
    "            radius=50.098,\n",
    "            thickness=4.5,\n",
    "            material=\"N-BK7\",\n",
    "            is_stop=True,\n",
    "        )\n",
    "        self.add_surface(index=2, radius=-983.42, thickness=0.1)\n",
    "        self.add_surface(index=3, radius=56.671, thickness=4.5, material=\"N-BK7\")\n",
    "        self.add_surface(index=4, radius=-171.15, thickness=5.571)\n",
    "        self.add_surface(\n",
    "            index=5,\n",
    "            radius=-97.339,\n",
    "            thickness=3.5,\n",
    "            material=(\"SF1\", \"schott\"),\n",
    "        )\n",
    "        self.add_surface(index=6, radius=81.454, thickness=75.132)\n",
    "        self.add_surface(index=7)\n",
    "\n",
    "        self.set_aperture(aperture_type=\"imageFNO\", value=2.8)\n",
    "\n",
    "        self.set_field_type(field_type=\"angle\")\n",
    "        self.add_field(y=0.0)\n",
    "        self.add_field(y=0.7)\n",
    "        self.add_field(y=1.0)\n",
    "\n",
    "        self.add_wavelength(value=0.4861)\n",
    "        self.add_wavelength(value=0.5876, is_primary=True)\n",
    "        self.add_wavelength(value=0.6563)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = TripletTelescopeObjective()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw(num_rays=5)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
